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?
Answers
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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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.