Given ratio of times taken by man for upstream and Downstream = 2:1
Ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1) = 3/1 = 3:1
So Speed of the stream = 42/3 = 14 kmph.
Solv. In. Corr.
0 M:0 S
17 / 38
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A boat covers a certain distance downstream in 1 hour, while it comes back in 1 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?
Suppose he moves 4 km downstream in x hours. Then,
Speed downstream = [4/x] km/hr, Speed upstream = [3/x] km/hr.
? 48/(4+x) + 48/(3/x) = 14 or x = 1/2.
So, Speed downstream = 8 km/hr, Speed upstream = 6 km/hr.
Rate of the stream = 1/2 (8-6) km/hr = 1 km/hr.
Solv. In. Corr.
0 M:0 S
19 / 38
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A boat takes 19 hours for travelling downstream fro poin A to point B and coming back to a point C midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B?
Speed downstream = (14 + 4) km/hr = 18 km/hr;
Speed upstream = (14 - 4) km/hr = 10 km/hr.
Let the distance between A and B be x km. Then,
x/18 + (x/2)/10 = 19 ? x/18 + x/20 = 19 ? x = 180 km.
Solv. In. Corr.
0 M:0 S
20 / 38
Choose the correct option.
A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it take 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?
Let the man rate upstream be x kmph and that downstream be y kmph. Then,
Distance covered upstream in 8 hrs 48 min. = Distance covered downstream in 4 hrs.
? [x 8 4/5] = (y * 4) ? 44/5 x = 4y ? y = 11/5 x.
? Required ratio = [y + x / 2] : [6x / 5 * 1/2] : [6x / 5 * 1/2]
= 8/5 : 3/5 = 8:3.
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