Kim and Om are travelling from point A to B, which are 400 km apart. Travelling at a certain speed Kim takes one hour more than Om to reach point B. If Kim doubles her speed she will take 1 hour 30 min less than Om to reach point B. At what speed was Om driving from Point A to B
Explanation:
Let speed of Kim = x km/h
Speed of Om = y km/h
According to question,
400/x-400/y=1
1/x-1/y=1/400 .....(i)
When Kim doubles her speed,
400/y-400/2x=3/2
1/y-1/2x=1/400×3/2 .....(ii)
On solving equations (i) and (ii),
x=80 km/h
Putting the value of x in equation (i),
1/y=1/80-1/400=5-1/400=1/100
y=100 km/h