Average Speed

A military fighter jet flies a mission in two segments. It travels the first $1000$ miles in $1$ hour. Then, it travels an additional $200$ miles in $15$ minutes to reach its destination. What is the average speed of the jet for the entire mission, in miles per hour?

A naval supply ship travels $150$ nautical miles in $10$ hours, and then travels an additional $90$ nautical miles in $5$ hours. What is the ship's average speed for the entire trip, in knots (nautical miles per hour)?

A delivery truck travels $40$ miles during the first $1$ hour of its route. It then travels another $75$ miles in $1$ hour and $30$ minutes. What is the truck's overall average speed for the entire trip?

A passenger train travels $80$ miles in $2$ hours. It then switches to a regional track and travels an additional $30$ miles in $3$ hours. Calculate the train's overall average speed for the entire journey.

A rescue helicopter flies $150$ miles to an offshore oil rig in $90$ minutes. The return flight to the base along the same route takes $150$ minutes due to strong headwinds. What is the helicopter's average speed in miles per hour for the entire round trip?

Fill in the blank with the correct numeric value.

An engineer battalion is transporting heavy equipment in a convoy to a forward operating base $210$ miles away. To arrive on schedule, the convoy must maintain an overall average speed of $42$ mph for the entire journey.

During the first leg, the convoy travels $120$ miles in $2$ hours. They then halt for $30$ minutes to inspect the equipment.

What average speed must the convoy maintain for the remainder of the trip to achieve the target overall average speed?

An armored cavalry troop conducts a training movement. They travel $45$ miles over rough terrain at a speed of $15$ miles per hour. After a $90$-minute halt for vehicle maintenance, they proceed $75$ miles along a highway at $50$ miles per hour. What is their overall average speed, in miles per hour, for the entire operation?

A medical supply drone is programmed to complete a $120$-mile delivery route with a required overall average speed of $40$ miles per hour. During the first segment, the drone flies $60$ miles at an average speed of $30$ miles per hour. It then lands for a $20$-minute battery swap. At what average speed must the drone fly for the remainder of the route to achieve its required overall average speed?

Calculate the required average speed to complete the mission as specified. Enter your numerical answer in the blank.

A high-speed passenger train is scheduled to travel a $300$-mile route between two cities with an overall average speed of $60$ miles per hour. During the first leg of the trip, the train travels $150$ miles at an average speed of $50$ miles per hour. At what average speed must the train travel for the remaining $150$ miles to meet its scheduled overall average speed?

A military supply convoy is tasked with delivering equipment to an outpost $210$ miles away. The convoy commander is ordered to maintain an overall average speed of $35$ miles per hour for the entire journey. If the convoy completes the first $90$ miles in $2$ hours, what average speed, in miles per hour, must they maintain for the remainder of the trip to exactly meet their overall time target?

A Coast Guard maritime patrol aircraft is assigned a $720$-mile patrol route. To meet mission parameters, the aircraft must maintain an overall average speed of $180$ miles per hour from start to finish. The crew completes the first $480$ miles at a cruising speed of $320$ miles per hour, then lands at a coastal airfield for a $30$-minute refueling stop. What average speed must the aircraft maintain during the final leg of the patrol to achieve the required overall average speed?

A Navy coastal patrol boat is assigned a $360$-nautical-mile mission. It navigates the first $120$ nautical miles through restricted waters at an average speed of $30$ knots. It then travels the remaining $240$ nautical miles through open ocean at an average speed of $40$ knots. Determine the boat's overall average speed for the entire mission.

A military cargo aircraft flies from Base Alpha to Base Bravo at an average speed of $300$ miles per hour. Upon arrival, the aircraft spends exactly $1$ hour and $30$ minutes on the ground being loaded. It then returns to Base Alpha along the exact same route at an average speed of $600$ miles per hour. If the total elapsed time for the entire mission, from the initial departure to the final return, was $7$ hours and $30$ minutes, what was the aircraft's overall average speed, in miles per hour, for the entire mission?

A military convoy must travel a total distance of $540$ miles to reach a forward operating base. To ensure they arrive on schedule, they need to maintain an overall average speed of $45$ miles per hour for the entire journey.

During the first segment, they travel $150$ miles in exactly $150$ minutes. During the second segment, they travel $135$ miles at an average speed of $30$ miles per hour.

What average speed, in miles per hour, must the convoy maintain for the remainder of the trip to meet their target overall average speed?

A reconnaissance patrol must complete a $24$-mile route with an overall average speed of $4$ mph to meet their extraction window. For the first $10$ miles, difficult terrain limits their average speed to $5$ mph. After completing this section, the patrol halts for exactly $120$ minutes to observe an objective. To achieve the required overall average speed, what must be their average speed, in mph, for the remaining distance?