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A contractor won a contract for two roads to be blacktopped.

1. \(\frac{3}{4}\) of the first road, which is 36 km long, was blacktopped in one month.
2. \(\frac{2}{3}\) of the second road, which is 60 km long, was blacktopped in the same time.

(a) How many kilometers of road were blacktopped in total?
(b) Which road had more blacktopped? By what quantity? Calculate.

Answer :

Final answer:

A total of 67 kilometers of road was blacktopped, with 27 km from the first road and 40 km from the second. The second road had more of its length blacktopped by 13 km.

Explanation:

Let's calculate how many kilometers of road were blacktopped for each road and then total them up. For the first road, which is 36 km long, 3/4 of it was blacktopped:

(3/4) × 36 km = 27 km

For the second road, which is 60 km long, 2/3 of it was blacktopped:

(2/3) × 60 km = 40 km

To find out the total kilometers blacktopped, we simply add these two amounts together:

Total blacktopped = 27 km + 40 km

= 67 km

The second part of the question asks which road had more of its length blacktopped and by what quantity. As we calculated, the first road had 27 km blacktopped and the second road had 40 km blacktopped:

More blacktopped on second road = 40 km - 27 km

= 13 km

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