GAT Word Problems 3

Question 1

Ahmed is 3 times as old as his son. In 12 years, Ahmed will be twice as old as his son. How old is Ahmed now?

Accepted Answer

36

Answer

Let son's age = x. Ahmed = 3x. In 12 years: 3x + 12 = 2(x + 12). Solving: 3x + 12 = 2x + 24, x = 12. Ahmed = 3 × 12 = 36.

Question 2

A tank can be filled by Pipe A in 6 hours and by Pipe B in 4 hours. If both pipes are opened together, how long will it take to fill the tank?

Accepted Answer

2.4 hours

Answer

Rate A = 1/6, Rate B = 1/4. Combined rate = 1/6 + 1/4 = 2/12 + 3/12 = 5/12. Time = 12/5 = 2.4 hours.

Question 3

A merchant bought 80 items at 25 SAR each. He sold 60 items at 35 SAR each and the remaining 20 items at 20 SAR each. What is his total profit?

Accepted Answer

500 SAR

Answer

Cost = 80 x 25 = 2000 SAR. Revenue = (60 x 35) + (20 x 20) = 2100 + 400 = 2500 SAR. Profit = 2500 - 2000 = 500 SAR.

Question 4

Fatima can complete a project in 10 days. After working alone for 4 days, Nora joins her and they finish the remaining work together in 3 days. How long would Nora take to complete the project alone?

Accepted Answer

10 days

Answer

Fatima's rate = 1/10 per day. In 4 days, she completes 4/10 = 2/5. Remaining = 3/5. In 3 days together: 3(1/10 + 1/N) = 3/5. Solving: 1/10 + 1/N = 1/5, so 1/N = 1/10, N = 10 days.

Question 5

A train 200 meters long passes a bridge 300 meters long in 25 seconds. What is the speed of the train in km/h?

Accepted Answer

72 km/h

Answer

Total distance = train length + bridge length = 200 + 300 = 500 m. Speed = 500/25 = 20 m/s = 20 × 3.6 = 72 km/h.

Qudurat GAT Practice Test

Qudurat GAT Practice Test

GAT Word Problems 3