# What is the ratio of the father's speed to Arunima speed?

858 views

Arunima is picked up by her father by car from college everyday. The college gets over at 4 p.m. daily. One day, the college got over an hour earlier than usual. Arunima started walking towards her house. Her father, unaware of this fact., leaves his house as usual, meets his daughter on the way, picks her up and they reach the house 15 minutes earlier than usual. What is the ratio of the father's speed to Arunima speed?

posted Sep 7, 2017

The father is 9 times faster than Arunima.
.
They are 15 minutes earlier home. As this includes a round trip, the dad picks Arunima 7.5 minutes earlier up than normal.
Arunima has by then been walking for 1 hour + 7.5 minutes = 67.5 minutes.
So what the dad does in 7.5 minutes, Arunima did in 67.5 minutes => 67.5 / 7.5 = 9

Similar Puzzles

A man starts to run along a particular direction with a speed of 54 km/hr.
After running upto a distance of 100 m, he increases his speed by 50% of the initial speed, and runs upto 200 m.
What will be the total time taken by the man?

How many seconds will a 468 m long train take to cross a man driving his motor bike at a speed of 39 km/hr in a direction of the moving train if the speed of the train is 120 km/hr?

+1 vote

The speed of a car is 63 km/hr, if we don't let it stop at any point.
If the car stops at stops, the speed of the car is 54 km/hr.
What is the time in minutes that the car stops for per hour?