Question

Abena travelled 40% of the distance of her trip alone, went another 35 miles with Saralyn, and then finished the last half of the journey alone. How many miles long was the journey?

Answer 1

The journey was 350 miles long.

Step-by-step explanation:

Let the journey was x miles long

Distance traveled alone = 40% of x = 0.4x

Distance traveled with Saralyn = 35 miles

Remaining distance = x/2 = 0.5x

Thus,

0.4x+35+0.5x=x

or, 0.1x=35

or, x=350 miles

Therefore, the journey was 350 miles long.

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Answer 2

Given:

Abena travelled 40% of the distance of her trip alone, went another 35 miles with Saralyn, and then finished the last half of the journey alone.

To find:

How many miles long was the journey?

Solution:

From given data, we have

Abena travelled 40 % of the distance of her trip alone, then 35 miles with Saralyn, and then the last half (50%) of the journey alone.

So, Abena travelled 40% + 50% = 90% of distance alone and 100% - 90% = 10% with Saralyn.

⇒ 10 % = 35 miles

⇒ 10 × 10 % = 10 × 35 miles

∴ 100 % = 350 miles

Therefore, 350 miles long was the journey.