Question

In a hurdle race, Nidhi is over hurdle B and `2/6` of the way through the race, as shown in the following figure.

Then, answer the following:

1. Where will Nidhi be when she is `4/6` of the way through the race?
2. Where will Nidhi be when she is `5/6` of the way through the race?
3. Give two fractions to tell what part of the race Nidhi has finished when she is over hurdle C.

Answer 1

Since, If Nidhi is at B, then `2/6` of the way is completed.

∴ If she is at A, she will cover = `((2/6))/2 xx 1`

= `2/(6 xx 2)`

= `1/6` way

a. When she is `4/6` of the way, she will be at `((4/6))/((1/6))` position

= `(4/6 xx 6/1)`   ...[∵ Reciprocal of `1/6` = 6]

= 4^th position

= D

b. When she is `5/6` of the way, she will be at `((5/6))/((1/6))` position

= `5/6 xx 6/1`   

= 5^th position

= E

c. When she is over hurdle C, she has completed half race.

Hence, she will be at `3/6` way = `3/6 = 1/2` way