Directions for questions: Answer the questions on the basis of the information given below.

Parakrima band members are late for a concert in the evening. On their way, they come across a cracked bridge which has no lighting. The bridge is strong enough to hold at most two of them, and they have only one torch with them. Andy can get across the bridge in 2 minutes, Sandy takes 3 minutes, Kandy takes 6 minutes, but Mandy takes 9 minutes. Two band members together can move only as fast as the slower between the two, and one band member must be carrying the torch during the crossing. The band crosses the bridge in such a manner that the total time taken is minimum.

 What is the time taken to cross the bridge?

Option 1 - <p><span lang="EN-IN">21 min.&nbsp;</span></p>
Option 2 - <p><span lang="EN-IN">20 min.</span></p>
Option 3 - <p><span lang="EN-IN">22 min.</span></p>
Option 4 - <p><span lang="EN-IN">23 min</span></p>
2 Views|Posted 6 months ago
Asked by Shiksha User
1 Answer
P
6 months ago
Correct Option - 2
Detailed Solution:

Two men cross at a time, and one must come back with the torch.

Journey

Men

Time

1 st trip

Andy, Sandy

3 min

Return

Andy, Sandy

2 min / 3

2 and trip

Kandy, Mandy

9 min

Return

Sandy, Andy

3 min / 2

Final trip

Sandy, Andy

3 min

Or 

Total time taken for the trip = 20 min

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