Question

A man can swim at 10 kmph in still
water. If the river flows at 3 kmph
and, it takes 12 hours more in
upstream than to go downstream
for the same distance, then how
far is the place?
Select one:
a. 175 km
b. 160 km
C. 182 km
d. 164 km​

Answer 1

Step-by-step explanation:

Speed of the man in still water =8 kmph.

Speed of the river =2 kmph

Downstream =8+2=10 kmph

Upstream =8−2=6 kmph

⇒

10

x

+

6

x

=

60

48

⇒8x=24

⇒x=3 km

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Answer 2

Answer:

Required distance is 182 km.

Step-by-step explanation:

Speed of the man in still water

$= 10 \: km. {hr}^{ - 1}$

Speed of the current

$= 3 \: km. {hr}^{ - 1}$

Speed of the man along the current

$= (10 + 3 )\: km. {hr}^{ - 1} = = 13\: km. {hr}^{ - 1}$

Speed of the man against the current

$= (10 - 3)\: km. {hr}^{ - 1} = = 7 \: km. {hr}^{ - 1}$

Given,

He takes 12 hours more in upstream than in the downstream

Ley, The distance is x km

$\frac{x}{7} - \frac{x}{13} = 12 \\ x = 182 \: km$