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26 Mar 2020, 01:27
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
89% (01:21) correct
11%
(02:03)
wrong
based on 209
sessions
History
Date
Time
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Not Attempted Yet
If a boat goes 50 km upstream in 10 hours and a distance of 40 km downstream in 8 hours, the what is the speed of the boat in still water ?
A. 10 kmph
B. 7.2 kmph
C. 5 kmph
D. 2.5 kmph
E. 2 kmph
26 Mar 2020, 01:54
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Quote:
Upstream speed (Against the stream) = B - S = 50/10 = 5 kmph
Upstream speed (In direction of the stream) = B + S = 40/8 = 5 kmph
Adding upsteam and downstream speeds, we get B-S+B+s = 5+5
i.e. 2B = 10
i.e. B = 5
Answer: Option C
General Discussion
26 Mar 2020, 01:40
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Let the speed of the stream = u kmph & speed of boat = v kmph
Speed during upstream = v - u & speed during downstream = v + u
boat goes 50 km upstream in 10 hours and a distance of 40 km downstream in 8 hours
--> 50 = (v - u)*10 and 40 = (v + u)*8
--> v - u = 5 ....... (1) & v + u = 5 ....... (2)
(1) + (2),
--> v - u + v + u = 5 + 5
--> 2v = 10
--> v = 5 kmph
Option C
Speed during upstream = v - u & speed during downstream = v + u
boat goes 50 km upstream in 10 hours and a distance of 40 km downstream in 8 hours
--> 50 = (v - u)*10 and 40 = (v + u)*8
--> v - u = 5 ....... (1) & v + u = 5 ....... (2)
(1) + (2),
--> v - u + v + u = 5 + 5
--> 2v = 10
--> v = 5 kmph
Option C
