Let time taken by Luke to cover the distance = x hours Speed of Luke = 6 miles per hour Therefore, Distance covered by Luke = 6x ------(1) Speed of Micah = 4 miles per hour Since Micah walked 2 miles before Luke started running, Luke started 1/2 an hour after Micah started. Therefore time taken by Micah to cover the distance = x+1/2 Distance covered by Micah = 4(x + 1/2) -------(2) Equating (1) and (2) 6x = 4(x+1/2) 6x = 4x +2 2x = 2 x= 1 Therefore Luke would take 1 hour to cover the distance covered by Micah.

6 0

3 years ago

A one-way train ticket from New York to Los Angeles costs $197 for a reclining seat, and $490 for a twin-sharing room. How much

Alex777 [14]

The total cost if x passengers booked reclining seats and one fifths y passengers booked twin-sharing rooms is (197x + 98y) dollars

Solution:

Given that,

Cost for reclining seat = $ 197

Cost for twin sharing room = $ 490

We have to find the cost if x passengers booked reclining seats and one fifths y passengers booked twin-sharing rooms

Cost for reclining room when "x" passengers booked is:

Cost for reclining room = $ 197x

Cost when One fifths y passengers booked twin-sharing rooms

Cost for twin sharing room = $\frac{1}{5} \times y \times 490$

Cost for twin sharing room = 98y

Total cost is given as:

Total cost = Cost for reclining room "x" passengers + Cost for twin sharing room for one fifths y passengers

$Total\ cost = 197x + 98y$

Thus total cost is (197x + 98y) dollars

4 0

3 years ago

Six carpenters can build six dog houses in six days. how many days will it take three carpenters to build two dog houses

patriot [66]

It would take 4 days for them to build the houses.

6 0

3 years ago