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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?
(A) 4 mph
(B) 5 mph
(C) 6 mph
(D) 30 mph



Answer :

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

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

[tex]\because speed\propto \frac{1}{time}[/tex]

Thus, the ratio of speed of tobin and her opponent = [tex]\frac{1}{30}:\frac{1}{45}[/tex]

= 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

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