Question

. A person can travel a certain distance in 8 hours. If he reduced
his speed by 36.66% then he would cover 132 km less in same
time. Find the actual speed of that person?​

Answer 1

Answer:

45km/hr (ans)

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Answer 2

Answer:

Speed is the distance travelled per unit time.

Step-by-step explanation:

Given,

time to cover a certain distance = 8 hours

if,

speed reduced by 36.66% = 36 2/3%

then 132 km less will be covered in same time

To find : actual speed

Speed = Distance / time

Speed = Distance / 8. ----------(1)

reduced speed = 300 - 110/300 of original speed

reduced speed = 190/300 of original speed

reduced speed = distance -132 / 8

190 /300 of original speed = (distance -132) / 8

$\frac{190}{300} \times \frac{distance}{8} = \frac{distance - 132}{8} \\ \frac{19 \times distance}{30 \times 8} = \frac { distance - 132}{8}$

cancel out 8 from both sides in the denominator

now after doing cross multiplication,

19× distance = 30 (distance - 132)

19 × distance = 30 × distance - 3960

19 × distance - 30 × distance = -3960

- 11 × distance = -3960

distance = -3960 / - 11

distance = 360 km

original speed = original distance / time

original speed = 360 / 8

original speed = 45 km per hour

The actual speed of the person is 45 km per hour.