Question

A man covers a distance of 95 km in 5 hours; partly on foot at the rate of 5 km/h and partly on a motorcycle at 40km/h. Find the distance travelled by him on the motorcycle.

Answer 1

Let the distance covered by walking = x km.
Then, the distance covered on the motorcycle = (95 - x) km
Speed when walking = 5km/hr.

Time taken = `x/(5)"hrs"`

Speed on motorcycle = 40km/h

Time taken on motorcycle = `(95 - x)/(40)"hrs"`

As the total time is 3 hours.
Thus, we get:

`x/(5) + (95 - x)/(40)` = 5

Taking LCM, we get:

⇒ `(8x + 95 - x)/(40)` = 
⇒ 7x + 95 = 200
⇒ 7x = 105
⇒ x = 15km.
Then, the distance covered on the motorcycle = (95 - x)km 
= (95 - 15) km = 80 km.