NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 2: Fractions and Decimals - Problems and Solutions
Question 73

Question. 73

In a hurdle race, Nidhi is over hurdle B and \(\dfrac{2}{6}\) of the way through the race, as shown in Fig. 2.7.

hurdle race diagram

Then, answer the following:

(a) Where will Nidhi be, when she is \(\dfrac{4}{6}\) of the way through the race?

(b) Where will Nidhi be when she is \(\dfrac{5}{6}\) of the way through the race?

(c) Give two fractions to tell what part of the race Nidhi has finished when she is over hurdle C.

Answer:

(a) D

(b) E

(c) \(\dfrac{3}{6}\) or \(\dfrac{1}{2}\) (middle)

Detailed Answer with Explanation:

The course is divided into 6 equal parts between A (start) and the finish. Positions at \(\dfrac{4}{6}\) and \(\dfrac{5}{6}\) correspond to hurdles D and E respectively; over C means halfway (\(\dfrac{3}{6}=\dfrac{1}{2}\)).

NCERT Exemplar Solutions Class 7 – Mathematics – Unit 2: Fractions and Decimals – Problems and Solutions | Detailed Answers