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The time taken by a person to cover 150 km was 2. 1/2 hours more than the time taken in the return
journey. If he returned

By Serenity

The time taken by a person to cover 150 km was 2. 1/2 hours more than the time taken in the return
journey. If he returned at a speed of 10 km/hour more than the speed while going, find the speed per
hour in each direction.​

About the author
Serenity

A box weighing 60N slides down from the top of an inclined plane making an angle of 300 with the horizontal if the body slides 4m


Next three consecutive numbers in the
pattern 11, 8, 5, 2,_____, ______, ______ are

a) 0, -3, -6
b) 4,

1 thought on “The time taken by a person to cover 150 km was 2. 1/2 hours more than the time taken in the return <br /> journey. If he returned”

  1. Step-by-step explanation:

    ⇒ Distance given =150km

    ⇒ Let the forward speed be x and the return speed will be x+10

    We know that, Time=

    speed

    Distance

    ∴

    x

    150

    =

    x+10

    150

    +2.5

    ⇒ 150(x+10)−150x=2.5×x(x+10)

    ⇒ 150x+1500−150x=2.5x

    2

    +25x

    ⇒ 2.5x

    2

    +25x−1500=0

    ⇒ 25x

    2

    +250x−15000=0

    ⇒ x

    2

    +10x−600=0

    ⇒ x

    2

    +30x−20x−600=0

    ⇒ x(x+30)−20(x+30)=0

    ⇒ (x+30)(x−20)=0

    The value of cannot be negative.

    ∴ Forward speed will be 20km/hr

    ⇒ Return speed =20+10=30km/hr

    ⇒ The required product =20×30=600km/hr

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