Question

On a particular day from Jaipur to Delhi, buses ran at intervals of 40 min while from
Delhi to Jaipur they ran at intervals of 45 min. At what earliest time would two buses
coming from opposite directions pass a particular bridge if they passed the same bridge
at 10.15 a.m.?​

Answer 1

Answer:

At 4:15 p.m.

Step-by-step explanation:

Given that, from Jaipur to Delhi, buses run at 40 mins intervals. And on the same day, from Delhi to Jaipur, buses run 45 mins intervals.

Now, two buses coming from opposite directions pass a particular bridge at 10:15 a.m.

So, the multiple of 45 mins. are 90 mins, 135 mins, 180 mins,225 mins, 270 mins, 315 mins, 360 mins ... and so on.

Again, the multiples of 40 mins are 80 mins, 120 mins,160 mins, 200 mins, 240 mins, 280 mins, 320 mins, 360 mins .... and so on.

So, the least time after which buses from both the direction will reach the same point is 360 min. i.e. 6 hours.

Therefore after at least 6 hours, the buses from both the direction will cross the bridge and it will be at (10:15 a.m +6 hours)= 4:15 p.m. (Answer)