Answer:
Dave rode his bicycle 17 miles in the morning
Dave rode his bicycle 40 miles in the afternoon
Step-by-step explanation:
* Lets study the information to solve the question
- Dave rod his bicycle in the morning and again in the afternoon
- Six more than twice as many miles in the afternoon as in the morning
means the distance in the afternoon is 6 more than twice the distance
in the morning
- The entire trip was 57 miles means the total distance in the morning
and in the afternoon was 75
* To solve the question let the distance in the morning is x miles
∵ The distance in the morning = x miles
∵ The distance in the afternoon is 6 more than twice the distance
in the morning
∴ The distance in the afternoon = 2x + 6 miles
∵ The distance in entire trip = 57 miles
- The distance in the morning and the distance in the afternoon = 57 miles
∴ x + (2x + 6) = 57 ⇒ simplify
∴ 3x + 6 = 57 ⇒ subtract 6 from both sides
∴ 3x = 51 ⇒ divide both sides by 3
∴ x = 17 miles
∵ The distance in the morning is x miles
∴ Dave rode his bicycle 17 miles in the morning
∵ The distance in the afternoon = 2x + 6 miles
- Substitute the value of x
∴ The distance in the afternoon = 2(17) + 6 = 34 + 6 = 40 miles
∴ Dave rode his bicycle 40 miles in the afternoon
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