muinat
22.09.2019 •
Mathematics
Ivan and kate live 40 miles apart. ivan leaves his house at 8: 00
a.m. and bicycles towards kate's house at a constant speed of 12 mph. kate leaves her house at 9: 30
a.m. bicycles towards ivan at constant speed of 16 mph. at what time will they meet?
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Ответ:
Time at which the meet = 10:17:24 am
Step-by-step explanation:
Speed of Ivan = 12 mph
Speed of Kate = 16 mph
Total distance traveled = Initial separation = 40 miles
Ivan leaves his house at 8:00 a.m and Kate leaves her house at 9:30 a.m
If t is the time of catch up after Ivan starting, time taken by Kate is t - 1.5,
We have
Distance = Speed x Time
Total distance traveled = Distance traveled by Kate + Distance traveled by Ivan
40 = t x 12 + (t-1.5) x 16
40 = 28t - 24
28t = 64
t = 2.29 hours
So after 2.29 hours of Ivan's starting they meet,
Time = 8:00 am + 2.29 hours = 10:00 am + 0.29 x 60 minutes = 10:17am + 0.4 x 60 seconds = 10:17:24 am
Time at which the meet = 10:17:24 am
Ответ:
1. 62.4
2. 156.6
3. 604.56
Step-by-step explanation:
130 ÷ 100 = 1.3
1.3 × 48 = 62.4
580 ÷ 100 = 5.8
5.8 × 27 = 156.6
458 ÷ 100 = 4.58
4.58 × 132 = 604.56