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) \[24\frac{5}{24}hrs\]
B) \[29\frac{5}{16}hrs\]
C) \[30\frac{5}{16}hrs\]
D) \[22\frac{5}{24}hrs\]
E) \[27\frac{5}{16}hrs\]
Correct Answer: D
Solution :
Time taken by boat A downstream \[=\frac{1080}{60}=18\,hours\] Distance travelled by boat A downstream \[=\frac{16}{100}\times 1800=288\,km\] Now, Set boat A's downstream speed\[=x+2\] Then. \[18=\frac{288}{x+2}\] \[\Rightarrow \]\[18x+36=288\] \[\Rightarrow \]\[18x=252\] \[\therefore \]\[x=14\,kmph\] Again, distance covered by boat F upstream \[=\frac{17}{100}\times 2600=442\,km\] Distance covered by boat F downstream \[=\frac{13}{100}\times 1800=234\,km\] \[\therefore \] Difference between time taken by boat F Upstream - Downstream \[=\frac{442}{(14-2)}-\frac{234}{14+2}=\frac{442}{12}-\frac{234}{16}\] \[=\frac{1768-702}{48}=\frac{1066}{48}\] \[=\frac{533}{24}=22\frac{5}{24}\,hours\]
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