Don't need the answer, just how you would solve this:

Tobin rows 2 miles per hour faster than her opponent. If it takes Tobin 30 minutes to finish a race, and it takes her opponent 45 minutes to finish the same race, how fast does Tobin row?

A4 mph
B5 mph
C6 mph
D30 mph

Question

Answered

Verified Answer :

crisforp crisforp · Answer 1 · 2014-06-15T23:55:26-04:00

d = x 45 opponent
d = ( x + 2) 30 Tobin
x 45 = ( x + 2) 30
x* 15 = 60
x = 4
x + 2 = 6 mph

Answer Link

slicergiza slicergiza · Answer 2 · 2019-08-29T07:59:15-04:00

Answer:

(C) 6 mph

Step-by-step explanation:

Given,

The time taken by Tobin = 30 minutes,

While, the time taken by her opponent = 45 minutes,

So, the ratio of the time taken by tobin and her opponent = 30 : 45

\(\because speed\propto \frac{1}{time}\)

Thus, the ratio of speed of tobin and her opponent = \(\frac{1}{30}:\frac{1}{45}\)

= 45 : 30

= 3 : 2

Suppose speed of tobin = 3x and speed of opponent = 2x

Where, x is positive real number,

Difference in speed = 3x - 2x = x

According to the question,

x = 2 miles per hour,

Hence, the speed of Tobin = 3x = 6 miles per hour.

Option (C) is correct