When four is added to six times a number and the result squared, the result obtained is four times the square of the sum of the number and its next multiple. What is the number?Explanation:The question can be directly converted to an equation as follows.Let ‘n’ be the number.(4 + 6n)2= 4(n + 2n)222(2 + 3n)2 = 4(3n)24 + 12n + 9n2= 9n2n = … [Read more...] about GRE Algebra – Word Problems

# Word Problems

## Word Problem – Rates Work and Time

If A and B together can complete a work in 4 days, B and C together in 6 days, C and A together in 5 days, then working individually, who will finish the work in the least time and in how many days? Answer: A, 120/17 days Explanation: Let the rates at which A, B and C work be a, b and c respectively. Therefore, a + b = ¼ b + c = 1/6 c + a = 1/5 Solving for a, b … [Read more...] about Word Problem – Rates Work and Time

## Rates – Time, Speed and Race

In a 2000 m race, Gates gives Steve a headstart of 200 m and beats him by 30 sec. When Gates gives Steve a headstart of 3 mins he gets beaten by 1000 m. How long would Gates and Steve take to run the race individually? Answer: Gates – 4 mins and Steve – 5 mins. Explanation Let the speeds of Gates and Steve be ‘g’ and ‘s’ respectively. In the first case, since … [Read more...] about Rates – Time, Speed and Race