Truck P and Truck Q drive on the highway in the same direction at respective rates of 70 kph and 75 ...

Truck P and Truck Q drive on the highway in the same direction at respective rates of 70 kph and 75 kph. If Truck Q is 4 km behind Truck P, by how much does Truck P need to increase the speed to catch up with Truck P in 20 minutes?

Quiz

Answer/Solution

7 kph

Steps/Work

Truck Q needs to gain 4 km in 20 minutes.
The relative speed difference needs to be 4 km / 20 minutes = 12 km/hour
Truck Q needs to increase up to 82 kph, thus an increase in 7 kph.
The answer is D.