## HCL Practice Distance Balance Questions

Dear Reader, given are 3 questions asking you to calculate distances based on the travel data given in questions. Though these are simple, they can consume time at times. Hence a good practice is necessary to solve these questions in time.

Question 1

A tourist from USA wanted to experiment different types of travel. He travelled 1/4 of the distance by car. He travelled by train 50% of the balance left. From out of the present balance 1/4th was covered by him in his motor cycle. Thereafter he covered the balance of 108 km by boat. What is the total distance travelled by him?

a) 468 km b) 728 km c) 546 km d) 384 km

Solution :

1/4 th distance covered by car.
Out of the balance i.e. 3/4 th distance , 50% was covered by train.
i.e. 3/8th of distance was covered by train.
Balance left was 3/8. Out of this 1/4th of distance was covered by motor cycle.
Distance covered by motorcycle = 3/8 x 1/4 th of distance = 3/32 th of distance.
Remaining Distance left out for boat = 3/8 - 3/32 = 9/32 = 9/32 th of distance
This portion 9/32 was covered by him in boat which is given as 108 km
Let total distance be D. Then 9/32 x D = 108. Or D = 384 km.

Question 2

A tourist company arranged 3/7th of total travel by train. Of the balance half the distance was covered by Volvo luxury bus. The balance distance of 70 km was covered by call taxi. What is the total distance of travel arranged by the tourist company?

a) 145 km b) 245 km c) 345 km d) 445 km

Solution :

3/7 th of distance covered by train , Balance - 4/7 th of distance
Out of 4/7 th balance , 1/2 th of distance was covered by luxury bus.
i.e.4/14 th of distance was covered by luxury bus. Balance left = 4/14 = 2/7 th of distance
This 2/7th of distance is covered by call taxi i.e. 70 km
Let total distance be D. Then 2/7 x D = 245. Or D = 245 km

Question 3

An enterprising traveller covered 22% of the total distance by race car. Out of the balance he covered 50% by train. Now with the remaining balance he covered half of it by motor cycle and the balance of 156 km by cycle. What is the total distance travelled by him?

A) 600 km b) 900 km c) 700 km d) 800 km

Solution :

By race car he travelled 22% of total distance
Balance distance to cover is 78% and out of this 1/2 that is 39% is covered by train.
In the remaining 50% i.e. 39% , he had covered half by motor cycle i.e. 19.5% of the distance.
Distance covered by cycle is 156 km which is the remaining 19.5% of the distance.
Hence 19.5% covers 156 km , then for 100% i.e. 15600 / 19.5 = 800
The total distance travelled will be 800 km

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