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# Help

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An ambulance travels at 40 mph and can follow a 20-mile route making no stops to get to the hospital. A helicopter travels at one mile per minute, and the air route is 15 miles to get to the same hospital. However, the helicopter takes three minutes for takeoff and three minutes for landing. How many fewer minutes does it take for the helicopter to complete its trip (takeoff, flight and landing) than for the ambulance to complete its trip?

Sep 29, 2020
edited by Guest  Sep 29, 2020

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An ambulance travels at 40 mph and can follow a 20-mile route making no stops to get to the hospital. A helicopter travels at one mile per minute, and the air route is 15 miles to get to the same hospital. However, the helicopter takes three minutes for takeoff and three minutes for landing. How many fewer minutes does it take for the helicopter to complete its trip (takeoff, flight and landing) than for the ambulance to complete its trip?

Hello Guest!

$$\Delta t=t_a-2\cdot 3\ min -t_h$$

$$t_a=\frac{20mls\cdot h}{40mls}\cdot \frac{60\ min}{h}\\ t_a=30\ min$$

$$t_h=\frac{15\ mls\cdot \ min}{1\ mls}\\ t_h=15\ min$$

$$\Delta t=t_a-2\cdot 3\ min -t_h$$

$$\Delta t=30\ min-2\cdot 3\ min -15\ min$$

$$\Delta t=9\ min$$

9 minutes many fewer does it take for the helicopter to complete its trip (takeoff, flight and landing) than for the ambulance to complete its trip.

!

Sep 29, 2020