Practice30 Create account

Two pipes together fill a tank in 20 hours. If A runs 5 hours and B 30 hours, it fills. How long does A take alone?

Class 10Work Rates with Two UnknownsAlgebra — Systems of Equations

A33 1/3 hours
B40 hours
C50 hours
D25 hours

Step-by-Step Solution

a + b = \frac{1}{20}, 5 a + 30 b = 1.5 a + 5 b = \frac{1}{4}, so 25 b = \frac{3}{4}, b = \frac{3}{100}, a = \frac{2}{100} = \frac{1}{50}

.

Answer: C) 50 hours

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Work Rates with Two Unknowns practice questions

More Class 10 Work Rates with Two Unknowns practice

Typist A types for 2 hours and B for 3 hours to finish a report. Or A types 1 hour and B…Machines A and B make a units and b units an hour. In 3 hours of A and 2 of B they make…3 men and 4 women earn Rs 3,200 a day in all. 2 men and 5 women earn Rs 2,950. What is…6 boys and 8 girls finish a project in 10 days; 26 boys and 48 girls finish it in 2…4 men and 2 boys finish a job in 6 days; 1 man and 4 boys finish it in 10 days. How long…