A few days ago
James

Tricky algebra question! What do you think?

Please explain if you can help! Thanks!!

Erica travels at 80 km/hr from Sarnia. Aisha travels 100 km/hr after an hour from Sarnia. At what distance did Aisha overtake Erica?

Top 2 Answers
A few days ago
Varshita

Favorite Answer

Let x be the number of hours for which erica has travelled when alisha overtakes her.

So the distance covered by Erica = speed x time = 80 x X = 80x

Now the time at which alisha would overtake erica would be one hour less than erica as she started one hour late. Therefore time taken by Alisha = x – 1

So distance covered by alisha = 100(x-1)

Now when alisha overtakes erica, the distance covered by both of them should be equal

Therefore, we get

80x = 100(x-1)

80x = 100x – 100

20x = 100

x = 5

Now substituting the value of x back in the distance covered by erica = 80 x = 80 x 5 = 400 kms

[You can also verify it by substituting th evalue of x in distance covered by Alisha = 100(x-1) = 100 (5-1) = 100 (4) = 400]

Therefore at 400 kms alisha would overtake erica.

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A few days ago
Anonymous
She overtook after 6 hours the first number with both 8 and ten is 40, (4*10 and 8*5) so + 1 hour equals 6 hours
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