Question

A boat travels a distance of 50 km downstream in 5 h and 80 km upstream in 10 h. Find the speed of the boat and speed of the current.
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Answer 1

Answer:

10 km per h and 8 kk per hour divide by 2

10 + 8 / 2

16 / 2

8 km per hour

Answer 2

Given:

• A boat travels a distance of 50 km.

• Downstream in 5 h and 80 km upstream in 10 h

To find:

• The speed of the boat

• The speed of the current.

Solution:

Assuming,

•The speed of boat in still water as a kmph

•The speed of current as b kmph.

Then,

• Speed of the boat downstream = (a + b)kmph

• Speed of the boat upstream = (a - b)

Therefore,

$\sf{\pink{\large{a+b = \frac{50}{5}=10} - - - - (1)}}$

$\sf{\pink{\large{a - b = \frac{80}{10} = 8 - - - - (2)}}}$

Add {(1) & (2)}eqs

2a = 18

a = 18/9

a = 9 , b = 1

Hence,

• Boat's speed in still water is 9kmph.

• Speed of current is 1kmph.