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What distance does Jim travel from his home to the supermarket?

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by BTGModeratorVI » Fri Jul 03, 2020 7:12 am

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What distance does Jim travel from his home to the supermarket?

(1) Jim leaves home at 9:00 a.m. and arrives at the supermarket 20 minutes later, driving nonstop.

(2) During this trip, Jim drives at an average of 30 mph.

Answer: C
Source: 800score
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Source: — Data Sufficiency |

$$Average\ speed\ =\ \frac{dis\tan ce}{time\ taken}$$

Statement 1 => Jim leaves home at 9:00 a.m. and arrives at the supermarket 20 minutes later, driving nonstop
Time taken = 20 minutes
Average speed = unknown
Total distance cannot be estimated. Statement 1 is NOT SUFFICIENT

Statement 2 => During this trip, Jim drives at an average of 30mph
Average speed = 30mph
Time taken = unknown, total distance cannot be estimated.
Statement 2 is NOT SUFFICIENT

Combining both statements together =>
From statement 1 => time taken (+) = 20 minutes
$$conversion\ gto\ hour\ =>\ \frac{20}{60}=\frac{1}{3}hour$$

From statement 2 => Average speed = 30mph
Distance = average speed * time taken
= 30 * 1/3
= 10m

Both statements combined together ARE SUFFICIENT
Answer = C
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