Direction: Study the following pie-charts and line graph carefully and answer the questions given below: The pie-charts show the distance covered by boats moving upstream and downstream by different boats. And the line graph shows the speed of stream (in kmph) of different boats. Distance covered upstream = 2600 km
Distance covered downstream = 1800 km
A) \[123\frac{1}{3}hrs\]
B) \[120\frac{2}{3}hrs\]
C) \[127\frac{2}{3}hrs\]
D) \[121\frac{1}{3}hrs\]
E) \[136\frac{2}{3}hrs\]
Correct Answer: D
Solution :
Distance covered by boat E, upstream \[=\frac{18}{100}\times 2600=468\,km\] Speed of stream for boat \[E=3\] kmph \[\therefore \] Upstream speed of boat E = 15 - 3 = 12 kmph Time taken by boat E upstream \[=\frac{468}{12}\]= 39 hours Time taken by boat C downstream. \[=39-\frac{180}{60}=36\,\text{hours}\] Distance covered by boat C downstream \[=\frac{10}{100}\times 1800=180\,km\] Let the speed of boat C in still water be x kmph. Then, \[36=\frac{180}{x+1}\] \[\Rightarrow \,36x+36=180\] \[\Rightarrow \,36x=144\] \[\Rightarrow \,x=4\,\,\text{kmph}\] Distance covered by boat C upstream \[=\frac{14}{100}\times 2600=364\,km\] Speed of boat C upstream \[=4-1=3\,\,kmph\] \[\therefore \] Reqd time \[=\frac{364}{3}=121\frac{1}{3}\] hours
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