en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Word Problems >

Two jets leave an air base at the same time and travel in opposite directions. One jet travels 84 miles per hour faster than the other. If the two jets are13,410 miles apart after 9 hours, what is the rate of each jet?

Solution

Tw o j e t s l e a v e an ai r ba se a t t h e s am e t im e an d t r a v e l in o pp os i t e d i rec t i o n s . O n e j e t t r a v e l s 84 mi l es p er h o u r f a s t er t han t h e o t h er . I f t h e tw o j e t s a re 13, 410 mi l es a p a r t a f t er 9 h o u rs, w ha t i s t h e r a t e o f e a c h j e t ?

Solution

first je t^{'} s speed : 787

second je t^{'} s speed : 703

Solution steps

Translate the problem into an equation:

x \cdot 9 + (x - 84) \cdot 9 = 13410

Solve for

x, x \cdot 9 + (x - 84) \cdot 9 = 13410 : x = 787

Find speed

first je t^{'} s speed : 787

second je t^{'} s speed : 703

Popular Examples

Mwenga bought a plot of land at sh 300000 per hectare in a town where land value appreciates at a constant rate of 10% per annum. After two years he sold the whole plot to a customer who was willing to pay sh 500000 per hectare. In the transaction Mwenga received sh 274000 more than the present value of the plot. Determine the present land value per hectare. (4 marks)Ava opened a savings account 2 years ago. The account earns 6% interest, compounded quarterly. If the current balance is 1,000.00, how much did she deposit initially?The sum of two consecutive integers is 295 Find the final amount of money in an account if 500 is deposited at 2% interest compounded weekly and the money is left for 9 years. The final amount is . Round answer to 2 decimal places When twice a number is decreased by six, the result is 46. What is the number?