# math

Ashwin and Donald decided to set out from two towns on their bikes, which are 247 miles apart, connected by a straight Roman road in England. When they finally met up somewhere between the two towns, Ashwin had been cycling for 9 miles a day. The number of days for the whole adventure is 3 more than the number of miles that Donald had been cycling in a day. How many miles did each cycle? explanatory solutions

1. 👍 0
2. 👎 0
3. 👁 388
1. Let the number of miles Donald has been cycling be x.
The number of days of the adventure is 3x.
Ashwin has been cycling 9 miles a day, so Ashwin has covered 3x * 9 miles = 27x.
The total distance is 247 miles
Add the distance that Ashwin and Donald have been cycling for
x+27x = 147
Once you solve for x, you can calculate how the distance each person has cycled respectively

1. 👍 0
2. 👎 2
2. Let the number of miles Donald has been cycling be x.
The number of days of the adventure is x + 3
Ashwin has been cycling 9 miles a day

Equation
Total # of days x ( # of miles of Ashwin per day + # of miles of Donald per Day) = 247
(x + 3)(9 + x) = 247 ----- Find the positive roots

the root is 10
so, x = 10
The number of days of the adventure is x + 3
so, x + 3 = 10 + 3 = 13 days
ashwin = 9 miles x 13 days = 117 miles
Donald = 10 miles x 13 days = 130 miles

1. 👍 3
2. 👎 0
posted by Delfin

## Similar Questions

1. ### math

Ashwin and Kartik went to a resort by the coast for the weekend. Since both of them were good drivers, they decided to drive from their apartment complex in Mumbai. On the way to the resort, Ashwin drove for the first 90km and

asked by gayathri on August 13, 2016
2. ### 3rd grade math (not algebra!)

There are 18 bikes in a bike rack. There are 4 more blue bikes than yellow bikes and 2 less yellow bikes than green bikes. How many bikes of each color are in the rack?

asked by susan on February 1, 2012
3. ### social studies

1. In the Middle Ages, ceremonies such as weddings had to be performed by ___. a. the man of the house b. a bishop c. a priest** d. the Pope 2. Guilds did all of the following EXCEPT a. voted on religious issues that affected

asked by Cyborg_DRAGon on September 28, 2016
4. ### math

irv has a bike store. he has 32 bikes and also some tricycles, tandem bikes and unicycles. the unicycles and tandem bikes must be the same. there are 57 helmets and 115 wheels. name the bikes.

asked by shoshona on November 4, 2014

You are the manager of World Wide Athlete, a chain of six sporting goods shops in your area. The shops sell 12 racing bikes per week at a retail price of \$679.99. Recently, you put the bikes on sale at \$599.99. At the sale price,

asked by Vic on October 2, 2015

You are the manager of World Wide Athlete, a chain of six sporting goods shops in your area. The shops sell 12 racing bikes per week at a retail price of \$679.99. Recently, you put the bikes on sale at \$599.99. At the sale price,

asked by Vic on September 28, 2015
7. ### math

There are a total of 36 bikes.If the ratio of green bikes to blue bikes is 4 to 5,how many of the bikes are blue?

asked by ignacio on August 26, 2015
8. ### Math

Twelve students half bikes. Half of the bikes ate black and one-sixth are silver. The rest of the bikes are other colors. How many bikes are black? silver? other colors? I drew twelve bikes, colored six in for the half, colored

asked by Anonymous on March 2, 2015
9. ### geometry

State a conclusion that seems reasonable. Donald is older than Jeanette; Donald is older than Ethel. Donald is older than Allen. Conclusion:

asked by amy s on March 8, 2010
10. ### geometry

State a conclusion that seems reasonable. Donald is older than Jeanette; Donald is older than Ethel. Donald is older than Allen. Conclusion?

asked by liliana on March 6, 2013

More Similar Questions