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.

How many ways are there such that all can cross the bridge in minimum time?

Option 1 - 1

Option 2 - 2

Option 3 - 3

Option 4 - 4

3 Views|Posted 6 months ago

Asked by Shiksha User

1 Answer

Sort by:

Answered by

Payal Gupta | Contributor-Level 10

6 months ago

Correct Option - 2

Detailed Solution:

Following are the possible ways in which Andy, Kandy, Mandy and Sandy can cross the bridge in minimum time.

Case I:

Journey	Men	Time
1 st trip	Andy, Sandy	3 min
Return	Andy, Sandy	2 min
2 nd trip	Kandy, Mandy	9 min
Return	Sandy	3 min
Final trip	Sandy, Andy	3 min
Total time		20 min

Case II:

Journey	Men	Time
1 st trip	Sandy	3 min
Return	Andy, Sandy	3 min
2 nd trip	Kandy, Mandy	9 min
Return	Andy	3 min
Final trip	Sandy, Andy	2 min
Total time		20 min

In total, there are 2 ways to do so.

Upvote

Similar Questions for you

Direction for question 13 to 16: Go through the chart given below and solve the questions based on it.

Given below are the win loss histories of four tennis players in their career.

Result/Players

P

Q

R

S

Won

23

18

10

16

Won

13

16

13

14

Lost

8

13

16

13

Lost

6

8

20

17

Who has lost the maximum percentage of matches played?

Vishal Baghel

the highest average is Rs. 136

Direction for question 13 to 16: Go through the chart given below and solve the questions based on it.

Given below are the win loss histories of four tennis players in their career.

Result/Players

P

Q

R

S

Won

23

18

10

16

Won

13

16

13

14

Lost

8

13

16

13

Lost

6

8

20

17

As in the case above what is the lowest average prize money won per money won per match by any player?

Vishal Baghel

Using the data from above question, the lowest average is Rs. 100.

Direction for question 13 to 16: Go through the chart given below and solve the questions based on it.

Given below are the win loss histories of four tennis players in their career.

Result/Players

P

Q

R

S

Won

23

18

10

16

Won

13

16

13

14

Lost

8

13

16

13

Lost

6

8

20

17

If a win carries an award of Rs. 150 and a loss carries of Rs. 100, what is the largest difference in prize money earned among the four?

Vishal Baghel

We get the following table of earnings:

Persons	Win Total	Average
P	36 * 150 + 14 * 100 = 6800	136
Q	34 * 150 + 21 * 100 = 7200	131
R	23 * 150 + 36 * 100 = 6850	116
S	30 * 150 + 30 * 100 = 6000	100

Now we can see that the largest difference

= Maximum – Minimum = Rs. 7500 – Rs. 6800

= Rs. 700

Direction for question 9 to 12: Go through the chart given below and solve the questions based on it.

Chart given below represents total number of persons (in hundreds) who have passed out from IIMs and IITs in each from 2014 to 2018. The IITs and IIMs are among the best known professional institutes in India and offer courses in the areas of engineering and mangment respectively. Both the IIMs and IITs have six campuses located in various cities of India, none of the cities being common.

During the given period, the total pass outs from IIMs as a ratio of total pass outs from IITs is

Vishal Baghel

IITs = 60; IIMS = 40

Taking an Exam? Selecting a College?

Get authentic answers from experts, students and alumni that you won't find anywhere else.

On Shiksha, get access to

66K

Colleges

1.2K

Exams

6.9L

Reviews

1.8M

Answers

Learn more about...

DILR Prep Tips for MBA 2025

View Exam Details

Share Your College Life Experience

Didn't find the answer you were looking for?

Search from Shiksha's 1 lakh+ Topics

Ask Current Students, Alumni & our Experts

Quick Actions

Community GuidelinesUser Points System

QuestionsDiscussionsTags

Have a question related to your career & education?

See what others like you are asking & answering

Result/Players	P	Q	R	S
Won	23	18	10	16
Won	13	16	13	14
Lost	8	13	16	13
Lost	6	8	20	17