A bus left with some definite number of ...

A bus left with some definite number of passengers. At the first stop, half the passengers left the bus and 35 boarded the bus. At the second stop `1/5 `th of the passengers left and 40 boarded the bus. Then, the bus moved with 80 passengers towards its destination without stopping anywhere. How many passengers were there originally?

Text Solution

Verified by Experts

The correct Answer is:

Suppose there were x passengers initially
Number of passengers after first stop = `(x)/(2) + 35`
Number of passengers after second stop = `(4)/(5) (( x)/(2) + 35) + 40 = 80`
`implies (x)/(2) + 35 = ((80 - 40))/(4) xx 5`
` implies (x)/(2) = 50 - 35 = 15`
`therefore x = 30`

Similar Questions

Explore conceptually related problems

A train started from a station with a certain number of passengers. At the first halt, half of the passengers got down and 125 passengers got in. At the second halt, half of the passengers left and 100 entered. Then the train left for its destination with 250 passengers. The number of passengers in the train at the start was (a) 250 (b) 350 (c) 450 (d) 550

A bus starts with some passengers . At the first stop, one -fifth of the passengers gets down and 40 passengers get in . At the second stop, half of the passengers gets down and 30 get in . The number of passengers now is 70 . The number of passengers with which the bus started was

In how many ways 10 passengers can board three buses if no bus remains empty?

When a bus started from the first stop, the number of male passengers to the number of female passengers was 3 : 1. At the stop 16 passengers get down and 6 more female passengers get into. Now the ratio of the male to female passengers becomes 2 : 1. What was the total number of passengers in the bus when it started from the first stop?

A train started with 540 passengers.At the first stop (1)/(9) of them got down and 24 got up. On its second stop (1)/(8) of the passengers then existing got down and 9 got up.With how many passengers did it reach the third stop? (a) 450 (b) 500 (c) 540 (d) 550

A passenger is standing d meters away from a bus. The bus beings to move with constant acceleration a. To catch the bus, the passenger runs at a constant speed v towards the bus, What must be the minimum speed of the passenger so that he may catch the bus?

A bus leaves Delhi with half the number of women as men. At Meerut, ten men get down and five women get in. Now there are equal number of men and women. How many passengers boarded the bus initially at Delhi ?

A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now, number of men and women is equal. How many passengers entered the bus in the beginning?

Text Solution

Similar Questions

Recommended Questions