Question

On Wednesday Heather ran $3$ miles in $30$ minutes. If she ran for $45$ minutes at this rate on Thursday, how far did Heather run on Thursday?

• A. 3.5 miles
• B. 4 miles
• C. 4.5 miles
• D. 5 miles
• E. 5.5 miles

Answer 1

The correct option is C 4.5 miles

Given that on Wednesday, heather ran $3$ miles in $30$ minutes.

Speed with which Heather ran $=$ $\frac{DistancecoveredbyHeather}{Timetakenbyhim}$

$=$ $\frac{3miles}{30minutes}$

$=$ $\frac{1}{10}$ $miles/minute$

On Thursday, she ran $45$ minutes at the same speed.

Distance covered by Heather $=$ Speed of Heather $\times$ Time taken by Heather

$=$ $\frac{1}{10}$ $miles/minute$ $\times$ $45$ $minutes$

$=$ $\frac{1}{10}$ $\times$ $45$ $miles$

$=$ $4.5$

Therefore, Heather ran ${}^{\prime }{4.5}^{\prime }$ miles on Thursday.