Revelian Test Numerical Reasoning Word Problems 3

Question 1

A car travels 180 miles in 3 hours. A truck covers the same distance but takes 45 minutes longer. How much faster (in mph) is the car than the truck?

Accepted Answer

12 mph

Answer

Car speed = 60 mph; truck time = 3.75 hrs, speed = 180/3.75 = 48 mph; difference = 12 mph.

Question 2

An office has 48 employees. If 1/3 work remotely and 25% of the remaining employees take a day off, how many employees are in the office?

Accepted Answer

24

Answer

Remote = 16; on-site = 32; 25% take off = 8; in office = 32 − 8 = 24.

Question 3

A recipe requires 2.5 cups of flour for 24 cookies. How many cups of flour are needed to make 60 cookies?

Accepted Answer

6.25 cups

Answer

Rate = 2.5/24 cups per cookie; for 60: (2.5/24) × 60 = 6.25 cups.

Question 4

A phone plan costs $45/month for the first 6 months, then $55/month thereafter. What is the total cost for 18 months?

Accepted Answer

$930

Answer

First 6 months: 6 × $45 = $270; next 12 months: 12 × $55 = $660; total = $930.

Question 5

Two pipes fill a pool together in 4 hours. Pipe A alone fills it in 6 hours. How long does Pipe B alone take to fill the pool?

Accepted Answer

12 hours

Answer

Combined rate = 1/4/hr; Pipe A rate = 1/6/hr; Pipe B = 1/4 − 1/6 = 1/12/hr → 12 hours.

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