Posted by **iris** on Wednesday, October 26, 2011 at 2:56pm.

peter took a 1,500 mile trip in 5 days. each day, he drove 30 miles more than the day before. how many miles did he cover on the first day?

- math -
**Reiny**, Wednesday, October 26, 2011 at 4:16pm
You have an arithmetic series,

where d = 30 , and Sum(5) = 1500 , a is first term

sum(n) = (n/2)(2a + (n-1)d)

1500 = (5/2)(2a + 120)

600 = 2a+120

2a=480

a = 240

On the first day he went 240 miles

check: 240 + 270 + 300 + 330 + 360 = 1500

## Answer This Question

## Related Questions

- Math - Hunter and his father drove 582 miles in 4 days. They drove 102 miles on ...
- Algebra - Tom went on a 3 Day road trip in which he drove the same number of ...
- math solve the problem using the four step plan - At the end of their 3-day ...
- math - On the first day of their 2598 mile trip , the curtis family drove 683 ...
- math - On the first day of their 2598 mile trip , the curtis family drove 683 ...
- math - Erica took 2 days to drive 1,020 miles. On the first day she drove 10 ...
- Math - Cari Bean was on her way to the islands in her yachet. Because of the ...
- math - word problem: The Rory family drove 310 miles each day for 4 days. Then ...
- algebra 1A - a family travels to Bryce Canyon for three days. on the first day, ...
- Math 116 - 1.IN a given training week, a swimmer completes 1/4 mile on day one, ...

More Related Questions