Question 97

A man starts from his house and travelling at 30 km/h, he reacheshis office late by 10 minutes, and travelling at 24 km/h, he reachesh is office late by 18 minutes. The distance (in km) from his house to his office is:

Solution

Ratio of the speed = 30 : 24 = 5 : 4
Ratio of time = 4 : 5
Difference in ratio = 5 - 4 = 1 unit
Difference in time = 18 - 10 = 8 min
1 units = 8 min
4 units = 4 $$\times$$ 8 = 32 min
Distance  = $$speed \times time = 30 \times 32/60$$ = 16 km


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