Exam Maths Puzzle Numerical Ability Time Distance and Speed

The distance between the two stations X and Y is 220 km. A train leaves station X for Y at a speed 80 km/hr. After half an hour another train leaves station Y for X at a speed 100 km/hr. Find the distance of the point from X, where the two trains meet.
Option
(a) 100 km
(b) 120 km
(c) 80 km
(d) 140 km

Read Solution (Total 1)

ans option b)120km

For first train dist. travelled in 1/2hr=80*1/2=40km
now let a point M at a distance (40+d)km from X be the meeting point.
So, time(T) needed for the first train to travel a distance of dkm T =d/80hr
And this time(T) will be equal for the second train leaving Y to meet first train, covering a distance of (220-(40+d))=180-d at a speed of 100kph
T=180-d/100
equating both T we get d=80km
So distance of the point from X, where the two trains meet (40+d)=40+80=120km
10 years agoHelpfull: Yes(0) No(1)

Exam Other Question

A and B run a 5 km race on a round course of 400 m. If their speeds are in the ratio 5 : 4, then how many times will the winner of the race pass the other participant?
Option
(a) 5 times
(b) 3 times
(c) 4 times
(d) 2 times If 15 men or 24 women or 36 boys can complete a piece of work in 12 days by working 8 hours a day, then how many men must be required to work with 12 women and 6 boys to complete another piece of work
1
2
4
times the previous piece of work in 30 days by working 6 hours a day?
Option
(a) 6
(b) 4
(c) 8
(d) 10