Question

Race

This is a 100 metre race for girls. Arundhati is nearest the finishing line. She is about 6 metres from it.

Behind her is Rehana. Konkana and Uma are running behind Rehana. Look at the picture. To answer the questions below choose from these distance:

— 3 metres

— 6 metres

— 10 metres

— 15 metres

(a) How far is Rehana from Arundhati? __________________

(b) How far ahead is Rehana from Konkana and Uma? ________________

(c) How far are Konkana and Uma from the finishing line? _______________

This is a 100 metre race for girls. Arundhati is nearest the finishing line. She is about 6 metres from it.

Behind her is Rehana. Konkana and Uma are running behind Rehana. Look at the picture. To answer the questions below choose from these distance:

— 3 metres

— 6 metres

— 10 metres

— 15 metres

(a) How far is Rehana from Arundhati? __________________

(b) How far ahead is Rehana from Konkana and Uma? ________________

(c) How far are Konkana and Uma from the finishing line? _______________

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Solution

(a)

By observing the figure, we see that the distance between Rehana and Arundhati is smaller than the distance of Rehana from Konkana and Uma.

So, the distance between Rehana and Arundhati is 3 metres.

(b)

By observing the figure, we see that the distance of Rehana from Konkana and Uma is double the distance between Rehana and Arundhati.

Thus, Rehana is 6 metres ahead of Konkana and Uma.

(c)

Since Rehana is 6 metres ahead of Konkana and Uma, Arundhati is 3 metres ahead of Rehana and Arundhati is 6 metres behind the finishing line.

∴ Distance of the finishing line from Konkana and Uma = 6 m + 3 m + 6 m

= 15 m

Thus, Konkana and Uma are 15 metres far away from the finishing line.

By observing the figure, we see that the distance between Rehana and Arundhati is smaller than the distance of Rehana from Konkana and Uma.

So, the distance between Rehana and Arundhati is 3 metres.

(b)

By observing the figure, we see that the distance of Rehana from Konkana and Uma is double the distance between Rehana and Arundhati.

Thus, Rehana is 6 metres ahead of Konkana and Uma.

(c)

Since Rehana is 6 metres ahead of Konkana and Uma, Arundhati is 3 metres ahead of Rehana and Arundhati is 6 metres behind the finishing line.

∴ Distance of the finishing line from Konkana and Uma = 6 m + 3 m + 6 m

= 15 m

Thus, Konkana and Uma are 15 metres far away from the finishing line.

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