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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.
Solution
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.
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