Question

A person, who decided to go to weekend trip should not exceed 8 hours driving in a day. Average speed of forward journey is 60 km/h. Due to traffic in Sundays, the return journey average speed is 50 km/h. How far can he select a picnic spot?

Answer 1

Since he must not exceed 8 hours driving in a day:
Let the distance of the picnic be = x km.

Therefore time for forward journey = x / 60
Return journey = x / 50

The total trip should not exceed 8 hours.
Therefore: x / 60 + x / 50 <= 8. LCM = 300

Taking LCM and multiplying on both sides:
5x + 6x <= 8(300)
11x <= 2400
x <= 2400/11
x <= 218.18
The picnic spot must be less than or equal to 218.18 km.