Question

NIranjan reaches his office late by 10 min.If he drives at a speed of 40 kmph .He is on time if he drives at a speed of 45kmph. What is the distance he has to travel daily from home to office and back?

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

The distance covered in both cases is the same but it is only the speed and reaching time that varies.

Let the distance to the office be d.

Time = Distance / speed

When he drives at 40km/h the time is :

t1 = d/40

When he drives at 45 km/h the time is :

t2 = d/45

t2 = t1 - 10/60

That is :

d/45 = d/40 - 1/6

Multiply through by 6:

6d/45 = 6d/40 - 1

Multiply through by 45 :

6d = 270d/40 - 45

Multiply through by 40:

240d = 270d - 1800

240d - 270d = -1800

-30d = -1800

d = 60 km

The distance to and fro on a daily basis is :

= 60 × 2 = 120 km