NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 8: Ratio & Proportion - Multiple Choice Questions
Question 10

Question.  10

If a bus travels 160 km in 4 hours and a train travels 320 km in 5 hours at uniform speeds, then the ratio of the distances travelled by them in one hour is

(A)

1 : 2

(B)

4 : 5

(C)

5 : 8

(D)

8 : 5

Detailed Answer with Explanation:

  1. Find the bus speed (distance in 1 hour).

    Given: Bus travels (160, ext{km}) in (4, ext{hours}).

    Speed of bus (=) (dfrac{160}{4}) km/h

    (=) (40, ext{km/h})

  2. Find the train speed (distance in 1 hour).

    Given: Train travels (320, ext{km}) in (5, ext{hours}).

    Speed of train (=) (dfrac{320}{5}) km/h

    (=) (64, ext{km/h})

  3. Write the ratio of distances in 1 hour (same as speeds).

    Bus : Train (=) (40 : 64)

  4. Simplify the ratio.

    Both numbers are divisible by (8).

    (dfrac{40}{8} : dfrac{64}{8} = 5 : 8)

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 8: Ratio & Proportion – Multiple Choice Questions | Detailed Answers