Question

If you ride your scooter at a speed of 20 kmph from your house, you
will reach your college at 9.05 a.m. If you ride at 30 kmph, then you
will reach at 8.55 a.m. Find the distance between your house and
college
km​

Answer 1

Step-by-step explanation:

1. speed difference

30-20=10kmph

time difference

9.05-8.55=0.5

distance is speed *time

therefore distance =10*0.5

=5km

Answer 2

The distance between house and college = 10 km

Given :

• If you ride your scooter at a speed of 20 kmph from your house, you will reach your college at 9.05 a.m.

• If you ride at 30 kmph, then you will reach at 8.55 a.m.

To find :

The distance between house and college

Solution :

Step 1 of 2 :

Form the equation to find the distance

Let d km be the distance between house and college

The time taken when speed is 20 kmph = d/20 hr

The time taken when speed is 30 kmph = d/30 hr

Diference in time

= (d/20 - d/30) hr

Again difference in time

= 9.05 am - 8.55 am

= 10 minutes

= 10/60 hour

By the given condition

$\displaystyle \sf \frac{d}{20} - \frac{d}{30} = \frac{10}{60}$

Step 2 of 2 :

Calculate distance between house and college

$\displaystyle \sf \frac{d}{20} - \frac{d}{30} = \frac{10}{60}$

$\displaystyle \sf{ \implies } \frac{3d - 2d}{60} = \frac{10}{60}$

$\displaystyle \sf{ \implies } \frac{d}{60} = \frac{10}{60}$

$\displaystyle \sf{ \implies }d = 10$

Hence distance between house and college = 10 km

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