Question

Assertion (A): For converting speed from kmh to m's multiply it by
5
18
Reason (R): 1 km/h
1000 m
5
mils.
3600 S 18
Now, choose the correct option.
(1) Both (A) and (R) are true and (R) is correct explanation of the (A)
(2) Both (A) and (R) are true but (R) is not the correct explanation of the (A)
(3) (A) is true but (R) is false
(4) (A) is false but (R) is true​

Answer 1

Answer:

1. both are true and r is correct explanation of 1

Answer 2

Assertion:

For converting speed from km/hr to m/s multiply it by 5/18.

Reason:

1 km = 1000 m

1 hr = 3600 sec

Both assertion and reason are true, and reason is the correct explaination of Assertion (OPTION 1)

• Let assume speed of x km/hr and convert it to m/s.

$\rm \: x \: km/hr$

$\rm = x \times \dfrac{1 \: km}{1 \: hr}$

$\rm = x \times \dfrac{1000 \: m}{60 \times 60 \: sec}$

$\rm = x \times \dfrac{1000 \: m}{3600 \: sec}$

$\rm = x \times \dfrac{5 \: m}{18 \: sec}$

$\rm = \bigg(x \times \dfrac{5}{18} \bigg) \: m/s$

Hence (A) and (R) are true and (R) explains (A).