Question

jake drove 320km in the same time that jenna drove 360 km. if jenna drove on average 10km/h faster than jake, calculate her average speed. solve using a rational eqation.

Answer 1

Jenna’s average speed is 90 km/h

Explanation:

Here, we want to calculate Jenna’s average speed

Mathematically;

time = distance/speed

Let Jenna’s speed be x km/h

It means that Jake’s will be (x-10) km/h since Jenna’s speed is 10 km/h faster

Time taken for Jake is 320/(x-10)

Time taken for Jenna is 360/x

Since the time is equal;

Then;

320/(x-10) = 360/x

320(x) = 360(x-10)

320x = 360x - 3600

360x-320x = 3600

40x = 3600

x = 3600/40

x = 90 km/hour