ASVAB · Word Problems

A train leaves at 2:00 PM traveling at 60 mph. How far has it traveled by 5:30 PM?

Correct answer

210 miles

  1. A 195 miles
  2. B 210 miles
  3. C 180 miles
  4. D 240 miles

Why this is the answer

DISTANCE = rate × time. Time elapsed from 2:00 PM to 5:30 PM = 3.5 hours. Distance = 60 mph × 3.5 hours = 210 miles. ASVAB Arithmetic Reasoning tests distance-rate-time problems (d = r × t). Strategy: carefully calculate the time (3 hours 30 minutes = 3.5 hours, NOT 3.3), then multiply by the rate. Common error: writing 30 minutes as 0.30 instead of 0.5 hour. Half an hour = 0.5. Check: 60 × 3 = 180, plus 60 × 0.5 = 30, total 210. ✓
Source: ASVAB Arithmetic Reasoning — Distance-Rate-Time

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About this topic: Word Problems

Arithmetic Reasoning is almost entirely word problems: the maths is basic, the skill is translating a sentence into an operation — rate × time, part of a whole, unit price, remaining amount. Read for the question being asked, write the setup before calculating, and sanity-check the answer against the choices. This is one of 7 Arithmetic Reasoning questions on word problems, each with a full explanation on a single study page.

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